How do you combine like terms in $(5- x ) ( 5+ x ) + ( x - 5) ^ { 2} + ( 2x - 10) ( x + 3)$ ?

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Answer 1 · 2018-07-27T10:41:53

$2x^2-14x+20$

$(5-x)(5+x)+(x-5)^2+(2x-10)(x+3)$ can be separated into 3 parts:

$(5-x)(5+x)+(x-5)^2+(2x-10)(x+3)$
$=25-x^2+x^2-10x+25+2x^2-4x-30$
$=25cancel(-x^2+x^2)-10x+25+2x^2-4x-30$
$=2x^2-14x+20$

Answer 2 · 2018-07-27T10:43:58

$2x^2-14x+20$

$(5-x)(5+x)+(x-5)^2+(2x-10)(x+3)$

= $25-x^2+x^2-10x+25+2x^2-4x-30$

= $2x^2-14x+20$

How do you combine like terms in (5- x ) ( 5+ x ) + ( x - 5) ^ { 2} + ( 2x - 10) ( x + 3)(5- x ) ( 5+ x ) + ( x - 5) ^ { 2} + ( 2x - 10) ( x + 3)?